Virtually semisimple modules and a generalization of the Wedderburn-Artin theorem

DOI10.1080/00927872.2017.1384002zbMath1430.16008arXiv1603.05647OpenAlexW2963941829MaRDI QIDQ4570909

A. Daneshvar, Mahmood Behboodi, Mohammad Reza Vedadi

Publication date: 10 July 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05647

zbMATH Keywords

Wedderburn-Artin theoremsemisimple ringsemisimple moduleprincipal left ideal ringcompletely virtually semisimple ringvirtually semisimple ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Principal ideal rings (13F10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

On modules and rings in which complements are isomorphic to direct summands, Restricted iso-minimum condition, Commutative rings whose proper ideals are \(\wp\)-virtually semisimple, p-semisimple modules and type submodules, Structure of virtually semisimple modules over commutative rings, Several generalizations of the Wedderburn-Artin theorem with applications, Virtually uniserial modules and rings, Generalized SSP-modules, Prime virtually semisimple modules and rings, Direct sum decompositions of projective and injective modules into virtually uniserial modules

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